PHY2061 R. D. Field Department of Physics curl_2.doc Univesity of Florida Stokes’ TheoremStokes’ Theorem: ∫∫⋅=⋅×∇CrdFAdF!!!!!)(Proof (sketch): ∫∑∑∫⋅×∇⇒⋅×∇=Γ=⋅=Γ→∞→==SANNiiiNiiiiCAdFnFAAArdFi!!!!!!!)(ˆ)(011In cartesian (or retangular) coordinates: zzyyxx∂∂+∂∂+∂∂=ˆˆˆ!zyxFFFzyxzyxFG∂∂∂∂∂∂=×∇=
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This note was uploaded on 05/31/2011 for the course PHY 2061 taught by Professor Fry during the Spring '08 term at University of Florida.